CN107765220A - Pedestrian's system for tracking and method based on UWB and laser radar mixed positioning - Google Patents

Pedestrian's system for tracking and method based on UWB and laser radar mixed positioning Download PDF

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CN107765220A
CN107765220A CN201710849238.5A CN201710849238A CN107765220A CN 107765220 A CN107765220 A CN 107765220A CN 201710849238 A CN201710849238 A CN 201710849238A CN 107765220 A CN107765220 A CN 107765220A
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robot
uwb
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target
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CN107765220B (en
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辛亚运
苟利军
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Ningbo Kesen Intelligent Equipment Co ltd
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Wuhan Wood Robot Co Ltd
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Abstract

The present invention proposes a kind of pedestrian's system for tracking method based on UWB and laser radar mixed positioning, preliminary positioning and identification are carried out to pedestrian using UWB, then accurate positioning and identification are carried out to pedestrian using laser radar, effective avoidance, meet that the accurate of pedestrian follows and positioned under complex environment;Avoidance is carried out using dynamic window method, precision is higher;Processing is filtered using motion of the Kalman filter to robot, stability is stronger.

Description

Pedestrian's system for tracking and method based on UWB and laser radar mixed positioning
Technical field
The present invention relates to robot system for tracking, more particularly to a kind of pedestrian based on UWB and laser radar mixed positioning System for tracking and method.
Background technology
Robot follow technology refer to robot maintain a certain distance with speed follower pedestrian, and aid in pedestrian complete phase The social production activity of pass.Robot is followed all to have broad application prospects in service robot, the storage industry etc. that disappears soon. In sorting system of storing in a warehouse, robot is followed to follow pedestrian to reach shelf picking area order sorting goods, this is not only substantially reduced The labor intensity of people, but also the greatly low efficiency for improving whole sorting task;In service robot field, technology is followed It can help to be similar to guest-meeting robot progress personalized service.
Technology is followed mainly to be followed using ultrasonic wave positioning at present, bluetooth positioning follows, ultra-wide band radio-frequency signal (UWB) is fixed Position follows.There is diffraction phenomena due to ultrasonic wave in ultrasonic wave positioning, cause to position unstable, it is impossible to carry out more accurate positioning Follow task;Bluetooth positioning due to by Bluetooth signal carry out triangle polyester fibre, this method position error is larger to reach meter level, also without Method carries out accurate positioning and follows task;And ultra-wide band radio-frequency signal (UWB) positioning can reach 10cm levels, and moderate cost at present Have become application and study hotspot that robot follows field at present.
Chinese patent CN201610259595.1 provide for a kind of autonomous based on UWB follow robot localization method and System, realized using UWB wireless location technologies and independently follow robot localization, communicated using narrow-band impulse, it is not necessary to carry Ripple, transimission power is high, and small power consumption, antijamming capability and penetration capacity are strong, the precision and accuracy of positioning are improved, so as to realize Specific objective follows.
The content of the invention
In view of this, the present invention proposes a kind of based on UWB and pedestrian's system for tracking of laser radar mixed positioning and side Method, meet that the accurate of pedestrian follows and positioned under complex environment, carries out preliminary positioning and identification to pedestrian, so using UWB Carry out accurate positioning and identification to pedestrian using laser radar afterwards, finally allow the robot to without collision accurately with retinue People, precision is higher, and stability is stronger.
The technical proposal of the invention is realized in this way:It is fixed based on UWB and laser radar mixing the invention provides one kind Pedestrian's system for tracking of position, it includes at least three UWB base stations, UWB labels, data processing equipment and motion planning and robot control dress Put, in addition to laser radar, wherein,
UWB labels, which are placed in, to be followed in target, receives the UWB signal sent from UWB base stations;
UWB base stations send UWB signal, and at least three positions are fixed into the UWB base stations of triangle in robot;
Laser radar, measurement follow the distance between target and robot and angle, robot measurement ambient condition information;
Data processing equipment, by UWB base stations and UWB tag computations follow between target and robot UWB distance and UWB angles, and the distance between target and robot and angle are followed according to lidar measurement, to UWB distances and UWB angles Degree is corrected, and generates a reference path;According to the robot information of lidar measurement, in reference path On the basis of generate a collisionless final path;For final coordinates measurement rate control instruction, and to the speed of generation Control instruction is filtered processing, obtains smooth rate control instruction;
Robot movement control device, the rate control instruction of data processing equipment processing is converted into movement executing mechanism Execute instruction.
Second aspect, the invention provides a kind of pedestrian's follower method based on UWB and laser radar mixed positioning, including Following steps,
S1, UWB signal is sent to UWB labels by UWB base stations, calculates the UWB distances followed between target and robot And UWB angles;
S2, the distance between target and robot and angle are followed by lidar measurement, to UWB distances and UWB angles Degree is corrected, it is assumed that clear around robot, generates a nearest reference path;
S3, by lidar measurement robot information, local map is created, then according to the machine after correction Device people generates a collisionless final path relative to the distance and angle for following target on the basis of reference path;
S4, processing is filtered for final coordinates measurement rate control instruction, and to the rate control instruction of generation, is obtained To smooth rate control instruction;
S5, the execution that smooth rate control instruction is converted into movement executing mechanism by robot movement control device refer to Order.
On the basis of above technical scheme, it is preferred that in the step S1, according to principle of triangulation robot measurement Relative to UWB distance S1 and the UWB angle, θ 1 of UWB labels, position (S1, θ 1) of the UWB labels relative to robot is obtained.
It is further preferred that in the step S2, a frame laser radar data is gathered and then according to UWB by laser radar The determination of angle, θ 1 follows size (θ 1- Δ/2, θ 1+ Δ/2) of the target in the range of lidar measurement, wherein, Δ is to follow mesh The measurement range of laser radar corresponding to target width;Then, search follows target phase in the range of (θ 1- Δ/2, θ 1+ Δ/2) For the position of robot, the point of the n laser radar measured is added, is removed first in this n point in scope (S1- Δs Noise spot in s, S1+ Δ s), wherein, wherein S1 is UWB distances, and Δ s is the Breadth Maximum of 2 times of human legs, obtains n1 point, Then the average distance for following target to laser radar is soughtAnd willAs robot and after following target correction Distance, further calculating robot is with following the angle after target correctionWherein Δ θ is point of laser radar Resolution, then finally follow position of the target under robot coordinate to be
Still more preferably, in the step S2, reference path was that the origin of robot coordinate system points toPoint Straight line, it controls linear velocity and the angular speed to beWherein K1 is the ratio pass of distance and linear velocity System, K2 are Schemes of Angular Velocity Estimation for Robots and robot front and the normal angle proportionate relationship for following target measurement width.
On the basis of above technical scheme, it is preferred that in the step S3, robot is carried out using dynamic window method Avoidance on travel path, so as to obtain final path, dynamic window method comprises the following steps,
S3-1, laser radar search space is constrained to the controllable control instruction space of robot;
S3-2, the order in search space is evaluated using object function, selection makes object function maximumlly refer to Order is used as optimum instruction.
It is further preferred that in the step S3-1, robot speed's scope is determined using below equation,
θtt+ωΔt
Vm={ v ∈ [vmin,vmax],ω∈[ωminmax]}
Wherein, r is the radius that robot does circular motion;V is robot linear velocity;ω is robot rotary speed;
Robot coordinate is (x, y), θtIt is robot in the course angle of t, t is current time;
VmFor robot starting velocity space, VdIt is robot up to the velocity space, vccIt is the current speed of robot Degree,For the maximum deceleration of robot,For the peak acceleration of robot,For the maximum angular acceleration of robot, For the maximum angular deceleration of robot, VaThe feasible speed space of barrier is not struck against for robot, dist (v, ω) is speed The nearest distance of (v, ω) corresponding trajectory distance barrier.
On the basis of above technical scheme, it is preferred that in the step S3-2, every track is entered using below equation Row evaluation,
Wherein, H (v, ω) is used for evaluating robot under the sample rate currently set, when reaching analog track end Differential seat angle between direction and target;
G (v, ω) is track evaluation function, and deviation is smaller, and evaluation of estimate is higher, and distance is bigger, and evaluation of estimate is higher, and speed is got over Greatly, evaluation of estimate is higher;
D (v, ω) represents distance of the robot on current track between nearest barrier;
V (v, ω) is used for evaluating the velocity magnitude of current track, and α, beta, gamma is weight coefficient;
N is all tracks of sampling, and i is current track to be evaluated;
H (i) is differential seat angle of the robot between the direction and target of i-th trailing end away from d (i) is that robot exists The distance between with nearest barrier on i-th track, v (i) is speed of the robot on i-th track.
On the basis of above technical scheme, it is preferred that in the step S4, the speed using Kalman filter to generation Control instruction is filtered processing, the signal and the state-space model of noise pre-established, in implementation procedure, according to current moment Observation and previous moment estimate update the estimation to state variable, reach linear optimal effect.
Pedestrian's system for tracking method based on UWB and laser radar mixed positioning of the present invention has relative to prior art Following beneficial effect:
(1) preliminary positioning and identification are carried out to pedestrian using UWB, then pedestrian carried out using laser radar accurate Positioning and identification, effective avoidance, meet that the accurate of pedestrian follows and positioned under complex environment;
(2) avoidance is carried out using dynamic window method, precision is higher;
(3) processing is filtered using motion of the Kalman filter to robot, stability is stronger.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing There is the required accompanying drawing used in technology description to be briefly described, it should be apparent that, drawings in the following description are only this Some embodiments of invention, for those of ordinary skill in the art, on the premise of not paying creative work, can be with Other accompanying drawings are obtained according to these accompanying drawings.
Fig. 1 is the block diagram of pedestrian's system for tracking of the invention based on UWB and laser radar mixed positioning.
Embodiment
Below in conjunction with the accompanying drawing in embodiment of the present invention, the technical scheme in embodiment of the present invention is carried out clear Chu, it is fully described by, it is clear that described embodiment only a part of embodiment of the present invention, rather than whole realities Apply mode.Based on the embodiment in the present invention, those of ordinary skill in the art institute under the premise of creative work is not made The every other embodiment obtained, belongs to the scope of protection of the invention.
As shown in figure 1, the UWB of the present invention and pedestrian's system for tracking of laser radar mixed positioning, it includes laser radar 1st, at least three UWB base stations 2, UWB labels 3, data processing equipment 4 and robot movement control device 5.
UWB labels 3, which are placed in, to be followed in target, receives the UWB signal sent from UWB base stations 2;
UWB base stations 2 send UWB signal, and at least three positions are fixed into the UWB base stations 2 of triangle in robot;
Laser radar 1, measurement follow the distance between target and robot and angle, robot measurement surrounding environment letter Breath;
Data processing equipment 4, the UWB distances followed between target and robot are calculated by UWB base stations 2 and UWB labels 3 And UWB angles, and according to laser radar 1 measure follow the distance between target and robot and angle, to UWB apart from and UWB angles are corrected, and generate a reference path;The robot information measured according to laser radar 1, is joining Examine and a collisionless final path is generated on the basis of path;For final coordinates measurement rate control instruction, and to generation Rate control instruction be filtered processing, obtain smooth rate control instruction;
Robot movement control device 5, the rate control instruction that data processing equipment 4 is handled is converted into Motor execution machine The execute instruction of structure.
Pedestrian's follower method based on UWB and laser radar mixed positioning of the present invention, comprises the following steps,
S1, UWB signal is sent to UWB labels 3 by UWB base stations 2, calculate follow UWB between target and robot away from From and UWB angles.
Specifically, according to principle of triangulation robot measurement relative to UWB distance S1 and the UWB angle, θs of UWB labels 3 1, obtain position (S1, θ 1) of the UWB labels 3 relative to robot.
Principle of triangulation:Two-way time-of-flight method, the arteries and veins of Ta1 transmitting request property of the UWB base stations 2 on its timestamp Signal is rushed, by UWB labels 3 in Ta2 receptions, UWB labels 3 launch the signal of a response property at the Tb1 moment, by UWB Time stamp T b2 reception of the base station 2 at oneself.Pulse signal can be calculated successively between UWB base stations 2 and UWB labels 3 Flight time, so that it is determined that flying distance S.S=C × [(Ta2-Ta1)-(Tb2-Tb1)] (C is the light velocity), then by Multiple cans of diverse location arrangement UWB base stations 2 measure UWB labels 3 relative to machine by principle of triangulation in robot The position (S1, θ 1) of device people.
S2, the distance between target and robot and angle are followed by the measurement of laser radar 1, to UWB distances and UWB angles Degree is corrected, it is assumed that clear around robot, generates a nearest reference path.
One frame laser radar data is gathered by laser radar 1 and then is determined to follow target in lidar measurement according to θ 1 In the range of size (θ 1- Δ/2, θ 1+ Δ/2), wherein, Δ is the measurement model for following laser radar 1 corresponding to the width of target Enclose;Then search follows target to add the n measured relative to the position of robot in the range of (θ 1- Δ/2, θ 1+ Δ/2) The point of individual laser radar 1, removed first in this n point scope (noise spot in S1- Δs s, S1+ Δ s), wherein, wherein S1 is UWB distances, and Δ s is the Breadth Maximum of 2 times of human legs, obtains n1 point, then asks and follows target to the flat of laser radar 1 Equal distanceAnd willAs robot and the distance after target correction is followed, further calculating robot and follows mesh Angle after calibration justWherein Δ θ is the resolution ratio of laser radar 1, then finally follows target in robot Position under coordinate is
Reference path was that the origin of robot coordinate system points toThe straight line of point, it controls linear velocity and angular speed ForWherein K1 is the proportionate relationship of distance and linear velocity, and K2 is Schemes of Angular Velocity Estimation for Robots and robot Front and the normal angle proportionate relationship for following target measurement width.
S3, by the robot measurement ambient condition information of laser radar 1, create local map, then according to correction after Robot generates a collisionless final path relative to the distance and angle for following target on the basis of reference path.
Robot is tracking target, it is possible that the barrier incoherent with target, can influence robotic tracking Target, the present invention carry out avoidance using dynamic window method (dwa), and dynamic window method is directly to be searched in control instruction space The automatic obstacle avoiding algorithm for making object function take the Optimal Control of maximum to instruct.This method can be summarized as two steps:First, by laser The search space of radar 1 is constrained to the controllable control instruction space of robot;Second, using object function to the life in search space Order is evaluated, and selection makes object function maximumlly instruct as optimum instruction.Concrete principle is as follows:
Assuming that robot is not omnidirectional moving robot, what rotation of advancing can only be carried out, a pair (v, ω) just represent one Arc track, the radius that it does circular motion be,
Wherein, r is the radius that robot does circular motion;V is robot linear velocity;ω is robot rotary speed.
When rotary speed ω is not equal to 0, robot coordinate is,
θttt+ωΔt
Wherein, robot coordinate is (x, y), θtIt is robot in the course angle of t, t is current time;
Track is extrapolated according to speed can, then evaluates these tracks.
Limitation of the mobile robot by the kinematical constraint of itself, i.e. maximal rate and minimum speed:
Vm={ v ∈ [vmin,vmax],ω∈[ωminmax]}
Wherein, VmFor robot starting velocity space.
Because the motor torque of robot is limited, the acceleration and deceleration limitation of maximum be present, therefore mobile robot is in a meter Calculate in the cycle, a dynamic window be present, the speed in the window is the speed that robot can actually reach:
VdIt is robot up to the velocity space, vccIt is the present speed of robot,For the maximum deceleration of robot Degree,For the peak acceleration of robot,For the maximum angular acceleration of robot,For the maximum angular deceleration of robot;
Further contemplating robot be able to can stop before barrier is encountered, therefore under the conditions of maximum deceleration, speed has One scope:
Wherein, VaThe feasible speed space of barrier is not struck against for robot, dist (v, ω) is corresponding for speed (v, ω) The nearest distance of trajectory distance barrier.
In the velocity group of sampling, it is feasible to have some groups of tracks, therefore uses the mode of evaluation function as every rail Mark is evaluated.Evaluation function is:
H (v, ω) is for evaluating robot under the sample rate currently set, reaching court during analog track end To the differential seat angle between target;
G (v, ω) is track evaluation function, and deviation is smaller, and evaluation of estimate is higher, and distance is bigger, and evaluation of estimate is higher, and speed is got over Greatly, evaluation of estimate is higher;
D (v, ω) represents distance of the robot on current track between nearest barrier, if on this track There is no barrier, that just sets it to a constant;
V (v, ω) is used for evaluating the velocity magnitude of current track, and α, beta, gamma is weight coefficient;
In order to avoid occur a certain item in evaluation function it is too dominant, place is normalized to each single item of evaluation function Reason:
Wherein, n is all tracks of sampling, and i is current track to be evaluated;
H (i) is differential seat angle of the robot between the direction and target of i-th trailing end away from d (i) is that robot exists The distance between with nearest barrier on i-th track, v (i) is speed of the robot on i-th track.
In each calculating cycle, the obstacle information and target information around robot are obtained by laser radar 1, obtained To feasible track, and by calculating the value of evaluation function corresponding to every track, evaluation function is set to obtain maximum corresponding The set-point of (v, ω) next period velocity and angular speed corresponding to track.
S4, processing is filtered for final coordinates measurement rate control instruction, and to the rate control instruction of generation, is obtained To smooth rate control instruction.
When tracking target person motion, jitter phenomenon affected by noise can occur in speed, while also have and measure for robot Error, robot motion is filtered used here as Kalman filter.Kalman filter is built in advance using recursive algorithm Vertical signal and the state-space model of noise, in implementation procedure, according to the observation of current moment and previous moment estimate To update the estimation to state variable, reach linear optimal effect.The algorithm is concise, and has only used previous moment Data, so Kalman filtering is adapted to and computer real-time operation.Filtering principle is as follows:
The motion state equation of system
X (k)=AX (k-1)+Wk
Wherein, Wk is process noise amount, and such a noise is white Gaussian noise, meets wk~(0, Q (k)).
X (k)=[lk,vl.kk,vθ.k]TState variable is respectively to follow the length at target k moment, linear velocity, angle, angle Speed.
State-transition matrix:For the controlling cycle of system.
The observational equation of system is:
Z (k)=HX (k)+υk
Wherein, υkIt is the noise vector of observation, such a noise is that white Gaussian noise meets υk~(0, R (k)).
Observing matrix:
If the state X (k-1 | k-1) of the system at our known system k-1 moment and its corresponding covariance P (k-1 | k- 1) the state X (k | k-1) and its corresponding covariance P (k | k-1) of the system of subsequent time can, be predicted
Predictive equation is
X (k | k-1)=AX (k-1 | k-1)
P (k | k-1)=AP (k-1 | k-1) AT+Q (1)
Then we can obtain the observation Z (k) at k moment, and by predicted value X (k | k-1) and its corresponding covariance P (k | k-1) obtains X (k | k) and its corresponding covariance P (k | k).Wherein X (k | k) is the estimate to system actual value.
Make kalman gain
Kg (k)=P (k | k-1) HT(HP(k|k-1)HT+R)-1 (2)
It can so update X (k | k), and P (k | k), renewal equation is as follows:
X (k | k)=c+Kg (k) [Z (k)-HX (k | k-1)]
P (k | k)=[I-Kg (k) H] P (k | k-1) (3)
Each k moment we by using human body measurement position Z (k) and (2) (3) update Karman equation, and The estimate X (k | k) of position of human body is obtained, predicted value X (k+1 | k) is then obtained according to formula (1), and put using this and be used as prediction Value.Such iterative cycles reach filter effect.
S5, the execution that smooth rate control instruction is converted into movement executing mechanism by robot movement control device 5 refer to Order.
The better embodiment of the present invention is the foregoing is only, is not intended to limit the invention, it is all the present invention's Within spirit and principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.

Claims (9)

1. a kind of pedestrian's system for tracking based on UWB and laser radar mixed positioning, it include at least three UWB base stations (2), UWB labels (3), data processing equipment (4) and robot movement control device (5), it is characterised in that:Also include laser radar (1), wherein,
UWB labels (3), which are placed in, to be followed in target, receives the UWB signal sent from UWB base stations (2);
UWB base stations (2) send UWB signal, and at least three positions are fixed into the UWB base stations (2) of triangle in robot;
Laser radar (1), measurement follow the distance between target and robot and angle, robot measurement ambient condition information;
Data processing equipment (4), calculated by UWB base stations (2) and UWB labels (3) follow UWB between target and robot away from From and UWB angles, and according to laser radar (1) measure follow the distance between target and robot and angle, to UWB distances And UWB angles are corrected, and generate a reference path;The robot information measured according to laser radar (1), A collisionless final path is generated on the basis of reference path;For final coordinates measurement rate control instruction, and it is right The rate control instruction of generation is filtered processing, obtains smooth rate control instruction;
Robot movement control device (5), the rate control instruction of data processing equipment (4) processing is converted into Motor execution machine The execute instruction of structure.
A kind of 2. pedestrian's follower method based on UWB and laser radar mixed positioning, it is characterised in that:Comprise the following steps,
S1, UWB signal is sent to UWB labels (3) by UWB base stations (2), calculate follow UWB between target and robot away from From and UWB angles;
S2, the distance between target and robot and angle are followed by laser radar (1) measurement, to UWB distances and UWB angles It is corrected, it is assumed that clear around robot, generate a nearest reference path;
S3, by laser radar (1) robot measurement ambient condition information, local map is created, then according to the machine after correction Device people generates a collisionless final path relative to the distance and angle for following target on the basis of reference path;
S4, processing is filtered for final coordinates measurement rate control instruction, and to the rate control instruction of generation, is put down Sliding rate control instruction;
Smooth rate control instruction is converted into the execute instruction of movement executing mechanism by S5, robot movement control device (5).
3. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 2, it is characterised in that:Institute State in step S1, UWB distance S1 and the UWB angle, θ 1 according to principle of triangulation robot measurement relative to UWB labels (3), Obtain position (S1, θ 1) of the UWB labels (3) relative to robot.
4. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 3, it is characterised in that:Institute State in step S2, a frame laser radar data is gathered by laser radar (1) and then is determined to follow target to exist according to UWB angle, θs 1 Size (θ 1- Δ/2, θ 1+ Δ/2) in laser radar (1) measurement range, wherein, Δ is to follow to swash corresponding to the width of target The measurement range of optical radar (1);Then, search follows target relative to robot in the range of (θ 1- Δ/2, θ 1+ Δ/2) Position, the point of the n laser radar (1) measured is added, removed first in this n point in scope (S1- Δs s, S1+ Δ s) Interior noise spot, wherein, wherein S1 is UWB distances, and Δ s is 2 times of human leg's Breadth Maximums, obtains n1 point, then asks and follow Average distance of the target to laser radar (1)And willAs robot and the distance after target correction is followed, is entered One step calculating robot is with following the angle after target correctionWherein Δ θ is the resolution of laser radar (1) Rate, then finally follow position of the target under robot coordinate to be
5. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 4, it is characterised in that:Institute State in step S2, reference path was that the origin of robot coordinate system points toThe straight line of point, it controls linear velocity and angle speed Spend and beWherein K1 is the proportionate relationship of distance and linear velocity, and K2 is Schemes of Angular Velocity Estimation for Robots and machine People front and the normal angle proportionate relationship for following target measurement width.
6. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 2, it is characterised in that:Institute State in step S3, the avoidance on robot travel path is carried out using dynamic window method, so as to obtain final path, dynamic window Mouth method comprises the following steps,
S3-1, laser radar (1) search space is constrained to the controllable control instruction space of robot;
S3-2, the order in search space is evaluated using object function, selection makes object function maximumlly instruct work For optimum instruction.
7. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 6, it is characterised in that:Institute State in step S3-1, robot speed's scope determined using below equation,
<mrow> <mi>r</mi> <mo>=</mo> <mfrac> <mi>v</mi> <mi>&amp;omega;</mi> </mfrac> </mrow>
<mrow> <mi>x</mi> <mo>=</mo> <mi>x</mi> <mo>-</mo> <mfrac> <mi>v</mi> <mi>&amp;omega;</mi> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mi>t</mi> </msub> <mo>)</mo> </mrow> <mo>+</mo> <mfrac> <mi>v</mi> <mi>&amp;omega;</mi> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mi>t</mi> </msub> <mo>+</mo> <mi>&amp;omega;</mi> <mi>&amp;Delta;</mi> <mi>t</mi> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>y</mi> <mo>=</mo> <mi>y</mi> <mo>-</mo> <mfrac> <mi>v</mi> <mi>&amp;omega;</mi> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mi>t</mi> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mfrac> <mi>v</mi> <mi>&amp;omega;</mi> </mfrac> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;theta;</mi> <mi>t</mi> </msub> <mo>+</mo> <mi>&amp;omega;</mi> <mi>&amp;Delta;</mi> <mi>t</mi> <mo>)</mo> </mrow> </mrow>
θtt+ωΔt
Vm={ v ∈ [vmin,vmax],ω∈[ωminmax]}
Wherein, r is the radius that robot does circular motion;V is robot linear velocity;ω is robot rotary speed;
Robot coordinate is (x, y), θtIt is robot in the course angle of t, t is current time;
VmFor robot starting velocity space, VdIt is robot up to the velocity space, vccIt is the present speed of robot,For The maximum deceleration of robot,For the peak acceleration of robot,For the maximum angular acceleration of robot,For machine The maximum angular deceleration of people, VaThe feasible speed space of barrier is not struck against for robot, dist (v, ω) is speed (v, ω) The nearest distance of corresponding trajectory distance barrier.
8. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 7, it is characterised in that:Institute State in step S3-2, every track evaluated using below equation,
<mrow> <mi>n</mi> <mi>o</mi> <mi>r</mi> <mi>m</mi> <mi>a</mi> <mi>l</mi> <mo>_</mo> <mi>h</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>h</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mi>h</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
<mrow> <mi>n</mi> <mi>o</mi> <mi>r</mi> <mi>m</mi> <mi>a</mi> <mi>l</mi> <mo>_</mo> <mi>d</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>d</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mi>d</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
<mrow> <mi>n</mi> <mi>o</mi> <mi>r</mi> <mi>m</mi> <mi>a</mi> <mi>l</mi> <mo>_</mo> <mi>v</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>v</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mi>v</mi> <mrow> <mo>(</mo> <mi>i</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
Wherein, H (v, ω) is used for evaluating robot under the sample rate currently set, reaches direction during analog track end Differential seat angle between target;
G (v, ω) is track evaluation function, and deviation is smaller, and evaluation of estimate is higher, and distance is bigger, and evaluation of estimate is higher, and speed is bigger, comments Value is higher;
D (v, ω) represents distance of the robot on current track between nearest barrier;
V (v, ω) is used for evaluating the velocity magnitude of current track, and α, beta, gamma is weight coefficient;
N is all tracks of sampling, and i is current track to be evaluated;
H (i) is differential seat angle of the robot between the direction and target of i-th trailing end away from d (i) is robot at i-th The distance between with nearest barrier on track, v (i) is speed of the robot on i-th track.
9. pedestrian's follower method based on UWB and laser radar mixed positioning as claimed in claim 7, it is characterised in that:Institute State in step S4, processing is filtered to the rate control instruction of generation using Kalman filter, the signal pre-established is with making an uproar The state-space model of sound, in implementation procedure, according to the observation of current moment and previous moment estimate is updated to state The estimation of variable, reach linear optimal effect.
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